Lagrangian Formalism Over Graded Algebras

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This paper provides a description of an algebraic setting for the Lagrangian formalism over graded algebras and is intended as the necessary first step towards the noncommutative C-spectral sequence (variational bicomplex). A noncommutative version of integration procedure, the notion of adjoint operator, Green's formula, the relation between integral and differential forms, conservation laws, Euler operator, Noether's theorem is considered.
26 pages, AMS-TeX 2.1, to appear in J. Geom. Phys. (resubmitted because of a TeX-error)

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High Energy Physics - Theory, Algebraic Geometry, Differential Geometry, Exactly Solvable and Integrable Systems

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http://salesiana.dossiersoluciones.com/handle/123456789/149111

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/hep-th/9407037
 http://arxiv.org/abs/hep-th/9407037

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arXiv